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10221022101020 = 2255849775911261
BaseRepresentation
bin1001010010111100010001…
…1001000011111000011100
31100012010020121022022120212
42110233010121003320130
52314430123124213040
633423250035431552
72103305312245463
oct224570431037034
940163217268525
1010221022101020
113290790572925
121190a9b7555b8
13591ab882a013
142749b31579da
1512ad13c2cd65
hex94bc4643e1c

10221022101020 has 48 divisors (see below), whose sum is σ = 21472489584000. Its totient is φ = 4086820062720.

The previous prime is 10221022101013. The next prime is 10221022101023. The reversal of 10221022101020 is 2010122012201.

It is a junction number, because it is equal to n+sod(n) for n = 10221022100986 and 10221022101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221022101023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 907642190 + ... + 907653450.

It is an arithmetic number, because the mean of its divisors is an integer number (447343533000).

Almost surely, 210221022101020 is an apocalyptic number.

10221022101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221022101020 is an abundant number, since it is smaller than the sum of its proper divisors (11251467482980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10221022101020 is a wasteful number, since it uses less digits than its factorization.

10221022101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24878 (or 24876 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221022101020 its reverse (2010122012201), we get a palindrome (12231144113221).

The spelling of 10221022101020 in words is "ten trillion, two hundred twenty-one billion, twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 5849 7759 11261 11698 15518 22522 23396 29245 31036 38795 45044 56305 58490 77590 112610 116980 155180 225220 45382391 65865589 87374099 90764782 131731178 174748198 181529564 226911955 263462356 329327945 349496396 436870495 453823910 658655890 873740990 907647820 1317311780 1747481980 511051105051 1022102210102 2044204420204 2555255525255 5110511050510 10221022101020